We can answer the first part of the question not taking intersecting function into account. The domain of 
is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.
Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be 
. We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.
The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.
Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)
Answer:
b
Step-by-step explanation:
so 0.5x is a slope of 1/2, which is rise 1 | run 2, and b matches that!
Use the distributive property for the left side first
3.2=1/2q+5.65
subtract 5.65 from both sides
-2.45=1/2q
divide both sides by 1/2
q=-4.9
Answer:
Purchase rate = 553.18 U.S dollar
Selling rate = 547.90 U.S dollars
Step-by-step explanation:
Purchase rate
1 U.S. dollar = NRs.103.72
Selling rate
1 U.S. dollar = NRs.104.32
How many American dollar can be exchanged withNRs.57, 376
Purchase rate
1 U.S. dollar = NRs.103.72
Amount of U.S. dollar = NRs.57, 376 / NRs.103.72
= 553.18164288468
Approximately
553.18 U.S dollar
Purchase rate = 553.18 U.S dollar
Selling rate
1 U.S. dollar = NRs.104.32
Amount of U.S. dollar = NRs.57, 376 / NRs. 104.32
= 547.89915966386
Approximately,
547.90 U.S dollars
Selling rate = 547.90 U.S dollars
